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Simplifying 4(a + -8) + 12 = 2(a + -6) Reorder the terms: 4(-8 + a) + 12 = 2(a + -6) (-8 * 4 + a * 4) + 12 = 2(a + -6) (-32 + 4a) + 12 = 2(a + -6) Reorder the terms: -32 + 12 + 4a = 2(a + -6) Combine like terms: -32 + 12 = -20 -20 + 4a = 2(a + -6) Reorder the terms: -20 + 4a = 2(-6 + a) -20 + 4a = (-6 * 2 + a * 2) -20 + 4a = (-12 + 2a) Solving -20 + 4a = -12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -20 + 4a + -2a = -12 + 2a + -2a Combine like terms: 4a + -2a = 2a -20 + 2a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 2a = -12 + 0 -20 + 2a = -12 Add '20' to each side of the equation. -20 + 20 + 2a = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = -12 + 20 2a = -12 + 20 Combine like terms: -12 + 20 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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